The proper exercise of mathematical play builds virtues that enable us to flourish in every area of our lives. [...] Math play builds:
Hopefulness, when you tinker with a problem long enough, you are exercising hope that you will eventually solve it.
Curiosity, as you explore, and it develops concentration, and intensely pleasurable focus that shuns the distractions of daily life.
Confidence in struggle, you know what it's like to struggle, because you're used to it, and you welcome it.
Patience, in the discipline of waiting for a solution.
Perseverance, weekly math investigations make us more fit for the next problem, whatever it might be - even if we don't solve the current problem.
Ability to change perspectives, to see a problem from many view points.
Openness of spirit, that contributes to community - when you share in the struggle and the delight of working on a problem with other human beings, you begin to see them differently.
Excerpt from Mathematics for Human Flourishing by Francis Su.
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